If EF = 2x – 11, FG = 4x - 16, and EG = 27, find the values of x, EF, and FG. The drawing is not to
scale.

x=9

EF=7

FG=20

Step-by-step explanation:

2x-11 + 4x-16=27

6x-27=27

    +27  +27

6x=54

6x/6=54/6

x=9

EF= 2(9)-11

18-11=7

FG=4(6)-16

36-16=20

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.